Falcon 9 fairing halves deployed their parafoils and splashed down in the Pacific Ocean last week after the launch of Iridium-6/GRACE-FO. Closest half was ~50m from SpaceX’s recovery ship, Mr. Steven. http://instagram.com/p/BjdAcCuFegz

The v1 is ~1900kg according to Spaceflight101, putting one half at ~950kg. The v2.0 is supposed to be slightly lighter but I found nothing specific, only speculations speaking about ~100kg savings per half.
– jkavalikJun 1 at 6:30

@DiegoSánchez I thought I didn't understand how Instagram works (I've never used it), glad to hear that it's not me! The photos are from Twitter, but I've incorporated them using SE's imgur utility so they should be closer to permanent here. See Do i.stack.imgur.com PNGs and GIFs ever expire? for example.
– uhohJun 1 at 10:22

1 Answer
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While we wait for an authoritative answer, I'm going to guesstimate here, and answer your second question in the process.

"Is this resting on something, or is it really floating this high in the water?" I'm going to assume you are refering to the first picture here, it is pretty clear that it is suspended from something in the other two.

If we look closely at it we see the welding ridges in the fairing. I'm going to focus in the divide between the cilindrical and ellipsoid parts of the fairing (marked purple) and one of the vertical lines in the ellipsoid (marked blue). Those two seem to cross at a point roughly on the waterline (red circle), so we're taking that as a starting point.

The blue welding mark is one of two dividing the fairing in three equal parts, which gives us that the submerged part accounts for about 60º of the circle.

From the aforementioned user's guide we also get that the cylindrical part is 6.7 m high, so multiplying both values we get that the submerged part is 4.1 cubic meters in volume.

Knowing that the density of water is 1Kg/l (ignore 2~3% saltwater here), we can guesstimate that the cylindrical part alone could have a lifting power of over 4000 Kg .

The ellipsoid part is trickier to estimate, but it is certainly going to be far less than that. Also, because of the prow's weight, the fairing is most probably raised on the back, so the lifing power of the cylinder will be a bit less than estimated.

Add to that that we don't know how many water there is on the bottom, we can conclude that we have no idea how much it weights, but considering that 1~2 Tons have been floatd around, we can at least say that it is indeed floating LOW in the water.

Fantastic answer, especially with the estimate. The converse way to estimate this is from the mass: a metric ton is one cubic meter of water. So something that weighs two metric tons should displace around two cubic meters of water. It's easy to imagine two cubic meters of sea water being displaced in this picture, given the size of the fairing half. For this purpose, the differences between metric ton and standard ton, and between sea water and fresh water, don't matter.
– Wayne ConradJun 1 at 16:39